PLEASE HELP ME OUT AND MAKE SURE TO SHOW YOUR WORK!!!! PLEASEEEEE

Answer:

[tex](x + 2)(5x + 2)[/tex]

Step-by-step explanation:

What we would normally do when factoring a polynomial is find the greatest factor, but in this case, there is none. What we do then is multiply the coefficient of the first term by the last term.

So in this case, that expression would be...

[tex]5 * 4 = 20[/tex]

Then, we have to find two factors of 20 that, when added together, equal the second term's coefficient (12).

These factors would be 2 and 10.

[tex]2 * 10 = 20\\\\2 + 10 = 12[/tex]

We then replace the second term in the polynomial with [tex]10x + 2x[/tex]. This ends up looking like this:

[tex]5x^2 +10x + 2x +4[/tex]

Keep in mind that this did not change the value of the polynomial, as 10x + 2x still equals 12x.

This new expression lets us use a technique called group factoring. To start group factoring, we need to take out the greatest common factor (GCF) of the first two terms. That ends up looking like this:

[tex]5x(x + 2)[/tex]

Then, we do the same thing with the last two terms.

[tex]2(x + 2)[/tex]

We know we're on the right track at this point, because the expressions inside the parenthesis in both GCFs are the same.

The last step is combining the terms on the outside of the parenthesis, and multiplying it with what's inside the parenthesis. The final answer looks like this.

[tex](x + 2)(5x + 2)[/tex]

The True statements are: b) -6 | 24, c) 11 | -33, and e) 5 | 126. The False statements are: a) 13|78 and d) 23 | 96.

The divisibility relationships in question can be evaluated as follows:

a) 13|78 - This statement is False. The vertical line symbol "|" denotes divisibility, and in this case, it means that 13 divides evenly into 78. However, 13 does not divide evenly into 78 since 78 divided by 13 results in a remainder of 0. Therefore, the statement is false.

b) -6 | 24 - This statement is True. The negative sign in front of the 6 indicates a negative number. The vertical line symbol "|" signifies divisibility, so -6 divides evenly into 24. When 24 is divided by -6, the result is -4, with no remainder. Hence, the statement is true.

c) 11 | -33 - This statement is True. Similar to the previous example, the negative sign in front of the 33 indicates a negative number. The vertical line symbol "|" represents divisibility, so 11 divides evenly into -33. When -33 is divided by 11, the result is -3, with no remainder. Therefore, the statement is true.

d) 23 | 96 - This statement is False. Again, the vertical line symbol "|" indicates divisibility, and in this case, it means that 23 divides evenly into 96. However, 23 does not divide evenly into 96, as 96 divided by 23 leaves a remainder of 4. Therefore, the statement is false.

e) 5 | 126 - This statement is True. The vertical line symbol "|" represents divisibility, so 5 divides evenly into 126. When 126 is divided by 5, the result is 25, with no remainder. Hence, the statement is true.

To summarize, the True statements are: b) -6 | 24, c) 11 | -33, and e) 5 | 126. The False statements are: a) 13|78 and d) 23 | 96.

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Answer:

3x + 3y - 6

Step-by-step explanation:

3x - 6 + 3y =

3x + 3y - 6

Answer:

x=2, -6

Step-by-step explanation:

[tex]3x^{2} +12x-36=0[/tex]

[tex]x^{2} +4x-12=0[/tex]     (Divided by 3)

[tex](x-2)(x+6)=0\\x_{1} =2, x_{2} =-6[/tex]

Answer:

a₁ = - 256 , r = - [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

Given

[tex]a_{n}[/tex] = - 256 [tex](-\frac{1}{4}) ^{n-1}[/tex] , then by comparison

a₁ = - 256 and r = - [tex]\frac{1}{4}[/tex]

Answer:

circumference = π(diameter) = 3.14(20) =62.8 cm

Step-by-step explanation:

In Galois field GF(2^4) with modulus IP = x^4 + x^3 + 1, there are eight generators in the multiplicative group, namely {x, x^3, x^5, x^6, x^7, x^9, x^11, x^12}, which have multiplicative orders equal to the order of the group (15) and generate all non-zero elements in the field.

To determine the generators of the multiplicative group in Galois field GF(2^4) with modulus IP = x^4 + x^3 + 1, we need to find elements that have multiplicative orders equal to the order of the group, which is 15.

The multiplicative group in a Galois field consists of all the non-zero elements. In this case, the elements of the field are polynomials of degree 3 or less with coefficients in GF(2) (the field with two elements, 0 and 1).

To find the generators, we can start by selecting an element from the field and compute its powers until we find an element whose power equals 1. The smallest power that gives 1 is the order of the element.

We can start with x, which represents the polynomial x^1. We compute its powers modulo the modulus IP:

x^2 = x * x = x^1 * x^1 = x^1

x^3 = x * x^2 = x^1 * x^1 = x^1

x^4 = x * x^3 = x^1 * x^1 = x^1

Since x^4 = x^1, the order of x is 4, which is not equal to the order of the multiplicative group (15). Therefore, x is not a generator.

We continue this process with other elements until we find generators. Let's try x^2:

(x^2)^2 = x^4 = x^1

(x^2)^3 = x^6 = x^2

(x^2)^4 = x^8 = x^4 = x^1

Since (x^2)^4 = x^1, the order of x^2 is 4, which is not equal to 15. Therefore, x^2 is not a generator.

We repeat this process with other elements until we find an element whose order is 15. Let's try x^3:

(x^3)^2 = x^6 = x^2

(x^3)^3 = x^9 = x^3

(x^3)^4 = x^12 = x^8 = x^4 = x^1

Since (x^3)^4 = x^1, the order of x^3 is 4, which is not equal to 15. Therefore, x^3 is not a generator.

We continue this process with x^4, x^5, and so on until we find a generator. After checking all possible elements, we find the following generators of the multiplicative group in GF(2^4) with modulus IP: {x, x^3, x^5, x^6, x^7, x^9, x^11, x^12}.

These eight elements have multiplicative orders equal to 15 and generate all the non-zero elements in the field under multiplication.

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Answer:it is #4

7:4

so 7 suv and 4 trucks

The answer would be the Third option

Answer:

1) x^2 - 14x + 44 = 0

(x^2 - 14x + 49) - 5 = 0

(x-7)^2 - 5 = 0

2)Assuming no complex number x...

(x-7)^2 = 5

x-7 = 5

x-7 = -5

x= 12, x=2

==============

Please give brainliest, I really want to rank up, thank you!

The answers to both the subparts of the equations are shown:

So, the equation is:

(A) Rewrite the equation by completing the square:

(B) The solutions of the equation:

Therefore, the answers to both the subparts of the equations are shown:

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Answer: 19.54

explanation:

50.00

-

30.46

----------------

19.54

Answer: 19.54$

Step-by-step explanation: 50.00

                                            -30.46

                                            = 19.54

Answer:

Step-by-step explanation:

10+10+20

5+5=10

6+4=10

10+10=20

Answer:

the person above me is incorrect

To write an equation from a description given in words, you first have to identify and define the variable. Then you would identify the coefficient, constants, and operations between the terms. Finally, you can translate to write the equation.

Answer:

x < 7

Step-by-step explanation:

Given

2x - 5 < 9 ( add 5 to both sides )

2x < 14 ( divide both sides by 2 )

x < 7

Answer:

6 is the answer

Step-by-step explanation:

6

Answer:

C-  6

Step-by-step explanation:

12=

1,2,3,4,6,12

30=

1,2,3,5,6,10,15,30

hope this helps :) also, brainliest?? :)

Answer:

a

Step-by-step explanation:

Answer:

(3,-4)

Step-by-step explanation:

Answer:

A. It is supplementary to angle APC

Step-by-step explanation:

Vocabulary:

Supplementary Angle - Two angles that when added together equal 180 degrees.

If we look at the graph provided which is attached below we can see that if we add angles CPB and APC it forms a straight line (a straight line always = 180 degrees) Making the answer A. It is supplementary to angle APC

Answer:

Step-by-step explanation:

Which statement is true about Angle C P B?

It is supplementary to Angle A P C.

It is complementary to Angle A P C.

It is congruent to Angle A P C.

It is linear to Angle A P D.

Answer:

[tex]2^{5}[/tex]

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The standard deviation for the portfolio is 7.65%. This value is calculated by considering the weights and standard deviations of the assets in the portfolio.

To calculate the standard deviation of a portfolio, we need to consider the weights and the standard deviation of each asset in the portfolio. In this case, we have $3,500 invested in a risk-free asset and $6,500 invested in a risky asset.

First, let's calculate the standard deviation of the risky asset:

Standard Deviation = 22%

Next, we need to calculate the weighted average of the standard deviations of the assets in the portfolio:

Weighted Standard Deviation = (Weight of Risky Asset * Standard Deviation of Risky Asset)

Weighted Standard Deviation = (0.65 * 22%)

Now, we can calculate the standard deviation of the portfolio using the weighted standard deviation:

Portfolio Standard Deviation = [tex]\sqrt{(Weighted Standard Deviation^2)}[/tex]

= [tex]\sqrt{(0.65 * 22\%)^2}[/tex] = [tex]\sqrt{(0.65^2 * (22\%)^2}[/tex] = [tex]\sqrt{(0.4225 * 0.484)}[/tex]  = [tex]\sqrt{0.204}[/tex]

Portfolio Standard Deviation = 0.452 = 7.65%

Therefore, the standard deviation for the portfolio is approximately 7.65%.

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The equation of the median PM in triangle PQR with vertices P(2, 3), Q(-3, 7), and R(-1, -3) is y = (1/3)x + 7/3.

To find the midpoint of QR, we calculate the average of the x-coordinates and the average of the y-coordinates. The x-coordinate of point M is (-3 + (-1))/2 = -2/2 = -1, and the y-coordinate of point M is (7 + (-3))/2 = 4/2 = 2.

Therefore, the coordinates of point M are (-1, 2). Now, we have two points, P (2, 3) and M (-1, 2), and we can find the equation of the line passing through these points using the point-slope form.

The slope of the line passing through P and M is (2 - 3)/(-1 - 2) = -1/-3 = 1/3. Using the point-slope form, we have:

y - 3 = (1/3)(x - 2)

Expanding and rearranging the equation, we get:

y = (1/3)x + 7/3

Therefore, the equation of the median PM in triangle PQR is y = (1/3)x + 7/3.

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Answer:

answer is A

Step-by-step explanation:

hope that helps

The range of the function f(x) = -4|x + 1| − 5 is (-∞, -5). The correct option is A.

The domain of a function is the set of values that can be plugged into it. This set contains the x values in a function like f. (x). A function's range is the set of values that the function can take. This is the set of values that the function returns after we enter an x value.

The given function is f(x) = -4|x + 1| − 5. Plot the function on the graph and it is observed that the range of the function varies from -∞ tp 5.

The graph of the function is attached with the answer below. The absolute function has the vertex at (-1,-5).

Therefore, the range of the function f(x) = -4|x + 1| − 5 is (-∞, -5). The correct option is A.

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Answer:

V ≈ 661.3π cm3; S = 264π cm2

Step-by-step explanation:

The conditional probability P(B|A) is approximately 0.83.

To find the conditional probability P(B|A), we can use the formula:

P(B|A) = P(A and B) / P(A)

Given that P(A and B) = 0.25 and P(A) = 0.30, we can substitute these values into the formula:

P(B|A) = 0.25 / 0.30

Performing the calculation:

P(B|A) = 0.8333...

Rounding the answer to two decimal places:

P(B|A) ≈ 0.83

Therefore, P(B|A) is approximately 0.83.

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To find the maximum area for the triangular flower bed with the same perimeter as the square flower bed, we can use the concept of an equilateral triangle.

Let's denote the side length of the square flower bed as 's'. Since the perimeter of the square is 120 m, each side of the square will be s = 120 m / 4 = 30 m.

Now, for the triangular flower bed to have the same perimeter as the square flower bed, it should also have a perimeter of 120 m. In an equilateral triangle, all three sides are equal in length.

Let's denote the side length of the equilateral triangle as 't'. Since the perimeter of the equilateral triangle is 120 m, each side of the triangle will be t = 120 m / 3 = 40 m.

The formula for the area of an equilateral triangle is given by:

Area = (sqrt(3) / 4) * t^2

Substituting the value of t, we get:

Area = (sqrt(3) / 4) * (40 m)^2

Area ≈ 346.41 m^2

Rounded off to the nearest integer, the area of the triangular flower bed would be 346 m^2.

The property illustrated by the given equations is the commutative property of addition.

The commutative property of addition states that changing the order of the numbers being added does not affect the sum. In equation (a), we can see that the numbers inside the parentheses are being added first, and then the sum is added to the number outside the parentheses. Similarly, in equation (b), the numbers inside the parentheses are added first, and then the sum is added to the number outside the parentheses.

In both cases, regardless of the order in which the numbers are added, the final sum remains the same. This demonstrates the commutative property of addition. The property holds true for any real numbers, and it allows us to rearrange the terms without changing the result.

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Answer: 4 years

Step-by-step explanation:

Your question isn't complete but I believe that you want to calculate the number of years. This will be:

Simple Interest = PRT/100

where,

Interest = 864 - 800 = 64

Principal = 800

Rate = 2%

Therefore, 64 = 800 × 2 × T /100

Cross multiply

64 × 100 = 1600T

6400 = 1600T

T = 6400/1600

T = 4

Therefore, time will be 4 years

Answer:

only the 1st is true

Step-by-step explanation:

the rest are wronf